Mobius circuit

We don’t want your brains to explode, so just trust us that this is a truly one sided circuit. Being a mobius strip means that this circuit has uber geek bragging rights. Beware, your friends who have never heard of a mobius strip will argue until they are blue in the face that there are two sides to it. The circuit they chose was fairly appropriate, an LED “chaser”.

It does have a single (topological) edge, but then again, so do most other circuit boards (unless you count drill holes). Topologically, a rectangle boundary is the same as a circle, is the same as any other closed curve. I guess a cylinder “board” would have two edges.

Why not use something like a racquetball with your electronics stabbed into it (or glued on), and conductive ink to connect them together? It probably wouldn’t be all that durable, but it would be a spherical circuit, wouldn’t it?

The Möbius strip or Möbius band (pronounced UK: /ˈmɜːbiəs/ or US: /ˈmoʊbiəs/ in English, [ˈmøːbi̯ʊs] in German) (alternatively written Mobius or Moebius in English) is a surface with only one side and only one boundary component. The Möbius strip has the mathematical property of being non-orientable. It can be realized as a ruled surface. It was discovered independently by the German mathematicians August Ferdinand Möbius and Johann Benedict Listing in 1858.

A model can easily be created by taking a paper strip and giving it a half-twist, and then joining the ends of the strip together to form a loop. In Euclidean space there are in fact two types of Möbius strips depending on the direction of the half-twist: clockwise and counterclockwise. The Möbius strip is therefore chiral, which is to say that it has “handedness” (right-handed or left-handed).

It is straightforward to find algebraic equations the solutions of which have the topology of a Möbius strip, but in general these equations do not describe the same geometric shape that one gets from the twisted paper model described above. In particular, the twisted paper model is a developable surface (it has zero Gaussian curvature). A system of differential-algebraic equations that describes models of this type was published in 2007 together with its numerical solution.

The Euler characteristic of the Möbius strip is zero.

In other words THERE IS ONE EDGE AND ONE SIDE. if you were to walk the Side, you’d end up back at the beginning going around the strip twice and this goes the same for the Edge because both left and right edges are the same edge once you’ve turned the trip into a mobius strip.

People who disagree clearly don,t know what a mobius strip is. Your welcome for explaining what it is in detail, thank Wikipedia for the genuine information.